Vlavov and Poisson equations in the context of self-gravitating systems
Abstract
We present Vlasov's equation and its association with Poisson's equation in the context of modelling self-gravitating systems such as Globular Clusters or Galaxies. We first review the classical hypotheses of the model. We continue with a presentation of the Hamilton-Morrison structure of Vlasov's equation to study the equilibrium and the stability of self-gravitating systems. Finally, we present some preliminary results concerning some properties of the time dependent solutions of the Vlasov-Poisson system.
Keywords
Cite
@article{arxiv.astro-ph/0402488,
title = {Vlavov and Poisson equations in the context of self-gravitating systems},
author = {Jerome Perez},
journal= {arXiv preprint arXiv:astro-ph/0402488},
year = {2009}
}
Comments
13 pages, no figures, Review paper presented in First International Workshop on the Theory and Applications of the Vlasov Equation, Nancy, France, November 2003, to appear in a special issue of in a special issue of "Transport Theory and Statistical Physics"